Light and low 5-stars in normal plane maps with minimum degree 5

摘要

It is known that there are normal plane maps (NPMs) with minimum degree delta = 5 such that the minimum degree-sum w(S (5)) of 5-stars at 5-vertices is arbitrarily large. The height of a 5-star is the maximum degree of its vertices. Given an NPM with delta = 5, by h(S (5)) we denote the minimum height of a 5-stars at 5-vertices in it.